A gradient based iterative algorithm for solving model updating problems of gyroscopic systems

DOI10.1016/j.apm.2011.12.016zbMath1252.70017OpenAlexW2012703036MaRDI QIDQ693633

Hao Liu, Yongxin Yuan

Publication date: 7 December 2012

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.12.016

zbMATH Keywords

iterative algorithminverse problembest approximationmodel updatingquadratic eigenvalue problemgyroscopic systems

Mathematics Subject Classification ID

Systems arising from the discretization of structural vibration problems (70J50) Motion of the gyroscope (70E05)

Related Items (8)

An efficient algorithm based on Lanczos type of BCR to solve constrained quadratic inverse eigenvalue problems ⋮ Updating \(\star \)-palindromic quadratic systems with no spill-over ⋮ Alternating projection method for sparse model updating problems ⋮ An inverse eigenvalue problem in symmetric sparse quadratic model updating ⋮ A new iterative model updating technique based on least squares minimal residual method using measured modal data ⋮ An inverse quadratic eigenvalue problem for damped gyroscopic systems ⋮ Gradient-based parameter identification algorithms for observer canonical state space systems using state estimates ⋮ A new updating method for the damped mass-spring systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gradient based and least squares based iterative algorithms for matrix equations \(AXB + CX^{T}D = F\)
• Iterative solutions to matrix equations of the form \(A_{i}XB_{i}=F_{i}\)
• Performance analysis of multi-innovation gradient type identification methods
• Gradient based iterative solutions for general linear matrix equations
• A direct updating method for damped gyroscopic systems using measured modal data
• Reconstruction of continuous-time systems from their non-uniformly sampled discrete-time systems
• Generalized inverses. Theory and applications.
• Finite element model updating in structural dynamics
• Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle
• Iterative least-squares solutions of coupled sylvester matrix equations
• The Quadratic Eigenvalue Problem
• A numerical method for quadratic eigenvalue problems of gyroscopic systems
• Structured inverse eigenvalue problems
• On Iterative Solutions of General Coupled Matrix Equations
• Quadratic Model Updating with Symmetry, Positive Definiteness, and No Spill-Over
• Strongly stable gyroscopic systems
• Inverse Eigenvalue Problems
• Partially Coupled Stochastic Gradient Identification Methods for Non-Uniformly Sampled Systems
• Gradient based iterative algorithms for solving a class of matrix equations
• Numerical solution of a quadratic eigenvalue problem

This page was built for publication: A gradient based iterative algorithm for solving model updating problems of gyroscopic systems